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Finding the Fourth Proportional to 504,138.47, 755,928.72 and 200,224.71

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Solution

The fourth proportional to 504,138.47, 755,928.72 and 200,224.71 is: 300,226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,138.47 : 755,928.72 = 200,224.71 : x
  2. Step 2: Convert to fraction form
    504,138.47/755,928.72 = 200,224.71/x
  3. Step 3: Cross multiply
    504,138.47x = 755,928.72 × 200,224.71
  4. Step 4: Simplify right side
    504,138.47x = 151,355,608,742.67
  5. Step 5: Solve for x
    x = 151,355,608,742.67/504,138.47
  6. Step 6: Final answer
    x = 300,226.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.